The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 X 0 X a*X a*X a^5*X a^5*X a^6*X a^6*X 0 X a*X a^2*X a^5*X
0 0 X a^6*X a^2*X a^4*X X a^2*X a^6*X a^4*X a*X a^4*X a*X a*X a^3*X
generates a code of length 15 over F8[X]/(X^2) who´s minimum homogenous weight is 96.
Homogenous weight enumerator: w(x)=1x^0+189x^96+168x^104+3584x^105+42x^112+112x^120
The gray image is a linear code over GF(8) with n=120, k=4 and d=96.
This code was found by Heurico 1.16 in 0.00226 seconds.